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Finding the Fourth Proportional to 55,704.60, 76,876.40 and 31,830.76

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Solution

The fourth proportional to 55,704.60, 76,876.40 and 31,830.76 is: 43,928.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,704.60 : 76,876.40 = 31,830.76 : x
  2. Step 2: Convert to fraction form
    55,704.60/76,876.40 = 31,830.76/x
  3. Step 3: Cross multiply
    55,704.60x = 76,876.40 × 31,830.76
  4. Step 4: Simplify right side
    55,704.60x = 2,447,034,238.06
  5. Step 5: Solve for x
    x = 2,447,034,238.06/55,704.60
  6. Step 6: Final answer
    x = 43,928.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.